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9[g-(3-g)+2]=-1+7[3g-(4+g)]

Let's work through this one....since it's a little tricky....

Working within the brackets, first, we have

9[g- 3 + g + 2] = -1 + 7[3g - 4 - g ]

9[2g - 1 ] = -1 + 7[2g - 4 ]

Distribute the 9 and the 7 across the terms in the brackets

18g - 9 = -1 + 14g - 28      simplify

18g - 9 = -29 + 14g

Add 29 to both sides and subtract 18g from both sides

20 = -4g

Divide both sides by -4

-20/4 = -5 = g

I think you must mean lim_u→0(5u² - 4)/(u+1).  The answer is -4

(no complications arise by just setting u = 0 here)

Assuming a 30-day month, we have

9855/30 = 328.5 months

y^2 + 5y -10 -2y

Thank you melody and alan 

1- you made the net  force constant because the track is fricitionless ? 

2- how did you determine that the acceleration is positive ?

Identify the forces on the glider.  Without friction (or air drag etc) the only forces are gravity and the normal reaction force of the track on the glider.  

The reaction force balances the component of the gravitational force normal to the track (I'm assuming the glider stays on the track!).  

The component of the gravitational force parallel to the track is the only force acting to change the speed of the glider, and, since gravity and the slope of the track are both constant, the force is constant.  This force acts in the downhill direction which is in the positive direction.  The acceleration is therefore in this direction.  

Acceleration doesn't necessarily lead to an increase in speed.  Because the glider starts with an initial speed up the track the positive acceleration first acts to slow it down, before bringing it to a halt and then increasing its speed back downhill.

.

Alan, for the middle question 

1- you made the net  force constant because the track is fricitionless ? 

2- how did you determine that the acceleration is positive ?  

Really nice joke CPhill!

Multiply the -7*(-2 - 2W) first, so you get

30 = 29 +14 +14W       (remembering that two minuses make a plus)

Simplify:

30 = 43 + 14W

Subtract 43 from both sides:

-13 = 14W

Divide both sides by 14:

W = -13/14

6/18 = (1*6)/(3*6) 

The 6's cancel so you are left with 1/3

If 4/7 are girls then 3/7 must be boys, so the number of boys is 63*3/7 = 27

The volumes are as follows:

Another way is to notice that sin(2x)cos(2x) is (1/2)sin(4x), the derivative of which is 4*(1/2)*cos(4x) or just 2*cos(4x).

 So the absolute value is 2|cos(4x)|  

(This is equivalent to geno3141's solution).

I would convert .5 into a fraction, making it 1/2. Then, I would find a common denominator for 2/3 and 1/2. What you get is: (4/6 - 3/6)

So, 2 x (4/6 - 3/6)

      2 x (1/6)

          2/6

=1/3

hope this helps!

g=-2.5

Because........ 7  "8"  9........

Also......can February March???.....no......but, April May..............

We can set this up as a proportion....

1137.50 / 50 =  x / 81      where x is the cost for 81 games

multiply both side by 81

(81)(1137.50)/50 = x = $1842.75

To figure the per game cost, divide $1137.50 by 50 =  $22.75

So, to find our how many games you could attend for $728, just divide this by $22.75 = 32 games

(2b^4 c^-2)^5 (3b^-3 c^-4)^-2

Applying a rule of exponents that (a^m)ⁿ = a^m*n......we have.........

(2)^5 *( b^4)^5* (c^-2)^5 * (3)^-2 * (b^-3)^-2 * (c^-4)^-2

32 * b^20 * c^-10 * (1/9)  * b^6 * c^8

And using another rule that a^m * aⁿ  = a^m+n  ...... we have.......

(32)(1/9)(b^20)(b^6)(c^-10)(c^8) =

(32/9)*(b^26)(c^-2) =               ............... remember c^-2 = 1/c^2............

[32b^26 ] / [9c^2] 

First, subtract the x values and square this result...

So we have   -1- 4 = -5     and (-5)^2 = 25

Do the same thing for the y values

4 - 1 = 3     and    (3)^2 = 9

Add the results

25 + 9 = 34

Take the square root = √34

And that's the distance between W and T

We can only add (or subtract) matrices of the same dimension. We just add entries having the same position(s) in the matrices.

For instance

[3 4 ]   +   [ 5 6 ]    =  [ 8 10 ]

This idea can be extended to any number of matices of like dimension.

We will need to figure what number times the length of each side will give us the right perimeter.

Call this number  x,  and multiply it times each side, so now the sides are  8x,  7x,  and 5x.

If we add the sides togeter, we get the perimeter:

Perimeter  =  8x + 7x + 5x

     240      =  8x + 7x + 5x

     240      =  20x

       12      =  x

8x becomes 8(12) = 96

7x becomes 7(12) = 84

5x becomes 5(12) = 60          and 96 + 84 + 60 = 240

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i missunderstood the word "diameter".I got it now.

Thank you,geno3141.